{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "讲师： 沈福利\n",
    "\n",
    "本章节目标\n",
    "\n",
    "* 手写数字展示\n",
    "* 手写数字数据的二维投影展示\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 绘制图表颜色栏"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在matplotlib中，颜色条是一个单独的轴，它可以为绘图中颜色的含义提供一个键"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('classic')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "案例：手写数字展示"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# load images of the digits 0 through 5 and visualize several of them\n",
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits(n_class=6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.,  0.,  5., 13.,  9.,  1.,  0.,  0.],\n",
       "       [ 0.,  0., 13., 15., 10., 15.,  5.,  0.],\n",
       "       [ 0.,  3., 15.,  2.,  0., 11.,  8.,  0.],\n",
       "       [ 0.,  4., 12.,  0.,  0.,  8.,  8.,  0.],\n",
       "       [ 0.,  5.,  8.,  0.,  0.,  9.,  8.,  0.],\n",
       "       [ 0.,  4., 11.,  0.,  1., 12.,  7.,  0.],\n",
       "       [ 0.,  2., 14.,  5., 10., 12.,  0.,  0.],\n",
       "       [ 0.,  0.,  6., 13., 10.,  0.,  0.,  0.]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "digits.images[0] # 打印第一张图的数据 8*8 矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1083"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(digits.target) # 1083 行数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1a163d9828>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(digits.images[8], cmap='binary')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 36 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(6, 6, figsize=(6, 6))\n",
    "\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(digits.images[i], cmap='binary')\n",
    "    axi.set(xticks=[], yticks=[])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "因为每个数字都是由64个像素的色调定义的，所以我们可以将每个数字视为64维空间中的一个点：每个维度代表一个像素的亮度。但是在这样的高维空间中可视化关系是非常困难的。解决这一问题的一种方法是使用维度技术来减少数据的维度，同时保持关系不变。\n",
    "\n",
    "让我们看一看这个数字数据的二维下的投影\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [],
   "source": [
    "# project the digits into 2 dimensions using IsoMap\n",
    "from sklearn.manifold import Isomap\n",
    "iso = Isomap(n_components=2)\n",
    "projection = iso.fit_transform(digits.data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1083, 2)"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "projection.shape # 1083 行数据不变，变成二维空间数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 151.52041613,  -97.77177886, -112.70662015, ...,    8.8746121 ,\n",
       "         12.29531467,  106.8409937 ])"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "projection[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 55.39201656,  58.0822836 , -45.22557972, ..., 111.16000848,\n",
       "        95.65099338,  83.03555368])"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "projection[:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the results\n",
    "x = projection[:, 0]\n",
    "y = projection[:, 1]\n",
    "\n",
    "plt.scatter(x,y, lw=0.1,\n",
    "            c=digits.target, cmap=plt.cm.get_cmap('cubehelix', 6))\n",
    "plt.colorbar(ticks=range(10), label='digit value')\n",
    "plt.clim(-0.5, 5.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "5和3的范围在这个投影中几乎是重叠的，这表明一些手写的5和3很难区分，因此更容易被自动分类算法混淆。其他值（如0和1）之间的距离更大，因此不太可能混淆。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
